Least Common Multiple of 708/29, 720/23, 465/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/29, 720/23, 465/924 quickly i.e. 1316880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/29, 720/23, 465/924 is 1316880.

LCM(708/29, 720/23, 465/924) = 1316880

LCM of 708/29, 720/23, 465/924

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 708/29,720/23,465/924

Given numbers are 708/29,720/23,465/924

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 708,720,465

Least Common Multiple of Numerators i.e. LCM of 708,720,465 is 1316880.

GCF of Denominators means GCF of 29,23,924 as per the given fractions.

GCF of 29,23,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,720,465

LCM of Fractions 708/29,720/23,465/924 is 1316880

2 708, 720, 465
2 354, 360, 465
3 177, 180, 465
5 59, 60, 155
59, 12, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 59 x 12 x 31 = 1316880

Least Common Multiple of 708,720,465 with GCF Formula

Least Common Multiple of 708,720,465 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 708,720,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,720,465) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(708,720,465) x common factors =3 x 60 = 180

LCM(708,720,465) = ( 708 × 720 × 465 ) / 180

LCM(708,720,465) = 237038400 / 180

LCM(708,720,465) = 1316880


Lets's calculate GCF of 29,23,924

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316880/1

Therefore the LCM of Fractions 708/29,720/23,465/924 is 1316880

Greatest Common Factor of 29,23,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,23,924 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 29,23,924 . The biggest common factor number is the GCF number.
So the greatest common factor 29,23,924 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 708/29, 720/23, 465/924

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 708/29, 720/23, 465/924?

Answer: LCM of Numerators as per given numbers 708/29, 720/23, 465/924 is

LCM of Numerators i.e. for 708,720,465 is 1316880

GCF of denominators i.e. for 29,23,924 is 1.

Thus, LCM of Fractions is 1316880.Finally, LCM of Fractions for 708/29, 720/23, 465/924 is 1316880.